What is the Least Common Multiple of 78976 and 78988?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 78976 and 78988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78976 and 78988, than apply into the LCM equation.

GCF(78976,78988) = 4
LCM(78976,78988) = ( 78976 × 78988) / 4
LCM(78976,78988) = 6238156288 / 4
LCM(78976,78988) = 1559539072

Least Common Multiple (LCM) of 78976 and 78988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78976 and 78988. First we will calculate the prime factors of 78976 and 78988.

Prime Factorization of 78976

Prime Factorization of 78988

Now multiplying the highest exponent prime factors to calculate the LCM of 78976 and 78988.

LCM(78976,78988) = 2⁷ × 617¹ × 7² × 13¹ × 31¹
LCM(78976,78988) = 1559539072